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Special metrics in $G_2$ geometry

Simon G. Chiossi·Anna Fino
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Abstract

We review a recent series of $G_2$ manifolds constructed via solvable Lie groups obtained in math.DG/0409137. They carry two related distinguished metrics, one negative Einstein and the other in the conformal class of a Ricci-flat metric.

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Simon G. Chiossi, Anna Fino. 2005-10-05. Special metrics in $G_2$ geometry. https://arxiv.org/abs/math/0510087

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